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2 years ago

7

An 11-ft ladder leans agalnst the side of a house. The bottom of the ladder Is 9 ft from the side of the house. How high Is the

IS top of the ladder from the ground?
If necessary, round your answer to the nearest tenth.

1 answer:

krek1111 [17]2 years ago

6 0

Answer:

The top of the ladder is 6.3 feet high from the ground.

Step-by-step explanation:

The given question can be expressed by the three sides of a right angled triangle. Let the height of the top of the ladder from the ground be represented by h.

Thus, applying the Pythagoras theorem to determine h, we have;

$/hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$11^{2}$ = $h^{2}$ + $9^{2}$

121 = $h^{2}$ + 81

$h^{2}$ = 121 - 81

= 40

h = $\sqrt{40}$

= 6.325

h = 6.325 feet

The top of the ladder is 6.3 feet high from the ground.

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What is the constant in the algebraic expression to represent the patter below??

Hitman42 [59]

Answer:

The constant in the algebraic expression to represent the pattern below is 4.

Step-by-step explanation:

Imortant Tip:

An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent terms

Given the pattern

$15,11,7,3,-1,...$

computing the differences of all the adjacent terms

$11-15=-4,\:\quad \:7-11=-4,\:\quad \:3-7=-4,\:\quad \:-1-3=-4$

The difference between all the adjacent terms of the pattern is the same which is

$d=-4$

Hence, the given pattern represents the Arithmetic sequence.

Therefore, the constant in the algebraic expression to represent the pattern below is 4.

8 0

3 years ago

We have 9 cards numbered 1 to 9. Two cards are drawn at random. What is the probability that the sum of the drawn cards is a pri

emmainna [20.7K]

There are 5 cards less than nine that are prime, so there is a 5/9 chance of picking the first one prime. The second one would be 4/8 or 1/2, because you have removed a card from the deck. You multiply them together to get: 5/18.

Hope this helps!

6 0

3 years ago

Jalen inherited a collection of vintage comic books. An appraiser separated the comic

sladkih [1.3K]

Jalen has total 63 comic books.

Step-by-step explanation:

Given,

Total value of comic books = $3135

Let,

Number of $45 comic books = x

Number of $65 comic books = y

According to given statement;

45x+65y=3135 Eqn 1

x=y+33 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$45(y+33)+65y=3135\\45y+1485+65y=3135\\110y=3135-1485\\110y=1650\\$

Dividing both sides by 110

$\frac{110y}{110}=\frac{1650}{110}\\y=15$

Putting y=15 in Eqn 2

$x=15+33\\x=48$

Total comic books = x+y

Total comic books = 48+15 = 63

Jalen has total 63 comic books.

Keywords: addition, elimination method

Learn more about elimination method at:

#LearnwithBrainly

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3 years ago

What is G equivalent to in 21.8-G=9.5???

inn [45]

G is equal 12.3 in this equation

7 0

3 years ago

Read 2 more answers

If $1600 earned simple interest of $56.24 in 2 months, what was the simple interest rate? The simple interest rate is % (Do not

Fiesta28 [93]

Answer:

$\$21.1$

Step-by-step explanation:

We know that for principal amount P , time period T and rate of interest $R\%$ , simple interest is given by $S.I. = \frac{P\times R\times T}{100}$ .

Here ,

$P=\$1600\\T=2\,\,months=\frac{2}{12}\,\,years=\frac{1}{6}\,\,years\\S.I=\$56.24$

To find : simple interest rate i.e., $R\%$

On putting values of $P\,,\,T\,,\,S.I$ in formula , we get $S.I. = \frac{P\times R\times T}{100}$

$56.24 = \frac{1600\times R\times 1}{600}\\R=\frac{56.24\times 600 }{1600}=\frac{703\times 3}{100}=\$21.09$

Now we need to round off the answer to the nearest tenth .

So, simple interest rate is % = $\$21.09$ = $\$21.1$

8 0

3 years ago